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Cornu Spiral

Cornu Spiral
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2020-01-21 03:29
CalculusIntegralGeometric Construction
This example demonstrates the generation of the Cornu spiral, a special curve in mathematics involving concepts from calculus such as integration and derivatives. Using GeoGebra commands like Point, Integral, and Locus, the spiral can be dynamically constructed. Suitable for high school students learning calculus.

GeoGebra Commands & Parameters

  1. Point(Segment[(0, 0), (b, 0)]) → t
  2. Integral(sin((3.141592653589793 / 2 * x^(2))), 0, (Verify * x(t))) → y_t
  3. Integral(cos((3.141592653589793 / 2 * x^(2))), 0, (Verify * x(t))) → x_t
  4. Locus(P, t) → Clothoid